\(9\tfrac{1}{4}-\tfrac{5}{4}=\) _____.
\(9\tfrac{1}{4}-\tfrac{5}{4}=\) 8.
Step 1: Change the mixed number to an improper fraction.
\(9\tfrac{1}{4} = \dfrac{9\times 4 + 1}{4} = \dfrac{36 + 1}{4} = \dfrac{37}{4}\)
Step 2: The denominators are the same (4), so subtract the numerators.
\(\dfrac{37}{4} - \dfrac{5}{4} = \dfrac{37 - 5}{4}\)
\(\dfrac{37 - 5}{4} = \dfrac{32}{4}\)
Step 3: Divide the numerator by the denominator.
\(\dfrac{32}{4} = 8\)
Answer: \(8\)